Matrices: size, entries, add, subtract and scalar multiples

Grade 11 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. Top line 2, 11, 0; bottom line -4, -6, 2. Jun copies matrix A, a table of numbers, from the board. What size is matrix A?

    • 3 × 2
    • 2 × 4
    • 2 × 3
    • 6
  2. Top line 8, -4; middle line -5, 2; bottom line 2, -6. Kira's worksheet shows matrix A as a grid. What size is matrix A, rows by columns?

    • 3 × 3
    • 3 × 2
    • 6
    • 2 × 3
  3. Top line -5, 12, -5, -6; bottom line 3, 7, -3, 0. Luz writes a store's inventory counts as matrix A. What size is matrix A?

    • 4 × 2
    • 8
    • 2 × 4
    • 2 × 5
  4. Row 1: 6, 4, -4; row 2: 1, 14, -2; row 3: 10, -3, 16. Milo reads matrix A, the school store's stock table. What number is in row 2, column 3 of A?

  5. Row 1: -5, 14, 2; row 2: 13, 0, -2; row 3: 7, -1, 9. Pia looks up one entry of matrix A. What is the entry in row 3, column 1?

  6. Shelf 1: 25 red, 1 blue; shelf 2: 13 red, 20 blue; shelf 3: 7 red, 3 blue. Tala turns the table of the library's books by color into a matrix with one row for each shelf. Which matrix matches the table?

    • rows (13, 20), (7, 3) and (25, 1)
    • rows (25, 1), (13, 20) and (7, 3)
    • rows (25, 13, 7) and (1, 20, 3)
  7. Friday: 1 cookie, 18 muffins, 24 apples; Saturday: 17 cookies, 19 muffins, 5 apples. Zee turns the table of the school fair snack sales into a matrix with one row for each day. Which matrix matches the table?

    • rows (1, 17), (18, 19) and (24, 5)
    • rows (1, 18, 24) and (17, 19, 5)
    • rows (17, 19, 5) and (1, 18, 24)
  8. Row 1: -8, -8; row 2: 3, -6. Matrix B: row 1: -1, -8; row 2: -7, -7. Jun finds A + B by adding matching cells. What is the entry in row 2, column 1 of A + B?

  9. Read this first

    Matrix A

    Row 1: -2, -3, -7; row 2: 4, -1, 3; row 3: 4, -2, -8. Matrix B: row 1: 1, 8, 7; row 2: -9, 1, -8; row 3: -9, -2, 6.

  10. Kira only needs one cell of A + B. What is the entry in row 1, column 3?

  11. Matrix A

    Row 1: -1, 1, 8; row 2: -1, -3, 2; row 3: -7, -6, 4. Matrix B: row 1: -1, -3, -8; row 2: -1, 5, 4; row 3: -7, 4, -4.

  12. To check one cell of A + B, Luz looks at row 3, column 2. What is that entry?

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Matrices: size, entries, add, subtract and scalar multiples

Answer Key - Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Top line 2, 11, 0; bottom line -4, -6, 2. Jun copies matrix A, a table of numbers, from the board. What size is matrix A?

    • 3 × 2
    • 2 × 4
    • 2 × 3
    • 6
  2. Top line 8, -4; middle line -5, 2; bottom line 2, -6. Kira's worksheet shows matrix A as a grid. What size is matrix A, rows by columns?

    • 3 × 3
    • 3 × 2
    • 6
    • 2 × 3
  3. Top line -5, 12, -5, -6; bottom line 3, 7, -3, 0. Luz writes a store's inventory counts as matrix A. What size is matrix A?

    • 4 × 2
    • 8
    • 2 × 4
    • 2 × 5
  4. Row 1: 6, 4, -4; row 2: 1, 14, -2; row 3: 10, -3, 16. Milo reads matrix A, the school store's stock table. What number is in row 2, column 3 of A?

    -2
  5. Row 1: -5, 14, 2; row 2: 13, 0, -2; row 3: 7, -1, 9. Pia looks up one entry of matrix A. What is the entry in row 3, column 1?

    7
  6. Shelf 1: 25 red, 1 blue; shelf 2: 13 red, 20 blue; shelf 3: 7 red, 3 blue. Tala turns the table of the library's books by color into a matrix with one row for each shelf. Which matrix matches the table?

    • rows (13, 20), (7, 3) and (25, 1)
    • rows (25, 1), (13, 20) and (7, 3)
    • rows (25, 13, 7) and (1, 20, 3)
  7. Friday: 1 cookie, 18 muffins, 24 apples; Saturday: 17 cookies, 19 muffins, 5 apples. Zee turns the table of the school fair snack sales into a matrix with one row for each day. Which matrix matches the table?

    • rows (1, 17), (18, 19) and (24, 5)
    • rows (1, 18, 24) and (17, 19, 5)
    • rows (17, 19, 5) and (1, 18, 24)
  8. Row 1: -8, -8; row 2: 3, -6. Matrix B: row 1: -1, -8; row 2: -7, -7. Jun finds A + B by adding matching cells. What is the entry in row 2, column 1 of A + B?

    -4
  9. Read this first

    Matrix A

    Row 1: -2, -3, -7; row 2: 4, -1, 3; row 3: 4, -2, -8. Matrix B: row 1: 1, 8, 7; row 2: -9, 1, -8; row 3: -9, -2, 6.

  10. Kira only needs one cell of A + B. What is the entry in row 1, column 3?

    0
  11. Matrix A

    Row 1: -1, 1, 8; row 2: -1, -3, 2; row 3: -7, -6, 4. Matrix B: row 1: -1, -3, -8; row 2: -1, 5, 4; row 3: -7, 4, -4.

  12. To check one cell of A + B, Luz looks at row 3, column 2. What is that entry?

    -2